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Finding the Fourth Proportional to 11,466.57, 15,833.48 and 8,629.05

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Solution

The fourth proportional to 11,466.57, 15,833.48 and 8,629.05 is: 11,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.57 : 15,833.48 = 8,629.05 : x
  2. Step 2: Convert to fraction form
    11,466.57/15,833.48 = 8,629.05/x
  3. Step 3: Cross multiply
    11,466.57x = 15,833.48 × 8,629.05
  4. Step 4: Simplify right side
    11,466.57x = 136,627,847.45
  5. Step 5: Solve for x
    x = 136,627,847.45/11,466.57
  6. Step 6: Final answer
    x = 11,915.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.